A Multiplication Based Logic Puzzle

282 and Level 5

  • 282 is a composite number.
  • Prime factorization: 282 = 2 x 3 x 47
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 = 8. Therefore 282 has 8 factors.
  • Factors of 282: 1, 2, 3, 6, 47, 94, 141, 282
  • Factor pairs: 282 = 1 x 282, 2 x 141, 3 x 94, or 6 x 47
  • 282 has no square factors that allow its square root to be simplified. √282 ≈ 16.793

Today is Halloween. Give this Level 5 puzzle a try. . . Trick or Treat?

2014-43 Level 5

Print the puzzles or type the factors on this excel file: 10 Factors 2014-10-27

2014-43 Level 5 Logic

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Tag Cloud